106749720 has 192 divisors, whose sum is σ = 432656640. Its totient is φ = 22176000.

The previous prime is 106749683. The next prime is 106749757. The reversal of 106749720 is 27947601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106749683) and next prime (106749757).

It is a super-2 number, since 2×106749720² = 22791005440156800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25795 + ... + 29645.

It is an arithmetic number, because the mean of its divisors is an integer number (2253420).

Almost surely, 2^106749720 is an apocalyptic number.

106749720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106749720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216328320).

106749720 is an abundant number, since it is smaller than the sum of its proper divisors (325906920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106749720 is a wasteful number, since it uses less digits than its factorization.

106749720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106749720 is about 10331.9756097273. The cubic root of 106749720 is about 474.3754969348.

The spelling of 106749720 in words is "one hundred six million, seven hundred forty-nine thousand, seven hundred twenty".